Graphical representation of the regularity of functions. (Image by Prof. Richard Melrose adapted from the lecture notes.)
This is the first semester of a two-semester sequence on Differential Analysis. Topics include fundamental solutions for elliptic; hyperbolic and parabolic differential operators; method of characteristics; review of Lebesgue integration; distributions; fourier transform; homogeneous distributions; asymptotic methods.
*Some translations represent previous versions of courses.